On an iterative method for a class of integral equations of the first kind

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

A solution for Volterra Integral Equations of the First Kind Based on Bernstein Polynomials

In this paper, we present a new computational method to solve Volterra integral equations of the first kind based on Bernstein polynomials. In this method, using operational matrices turn the integral equation into a system of equations. The computed operational matrices are exact and new. The comparisons show this method is acceptable. Moreover, the stability of the proposed method is studied.

B-spline Method for Solving Fredholm Integral Equations of the First ‎Kind

‎‎‎In this paper‎, we use the collocation method for to find an approximate solution of the problem by cubic B-spline basis.‎ The proposed method as a basic function led matrix systems, including band matrices and smoothness and capability to handle low calculative costly. ‎The absolute errors in the solution are compared to existing methods to verify the accuracy and convergent nature of propo...

An iterative method for solving Fredholm integral equations of the first kind

Alexander G. Ramm is an Author of more than 580 papers, 2 patents, 12 monographs, an editor of 3 books, and an Associate Editor of several mathematics and computational mathematics journals. He gave more than 135 addresses at various Conferences, visited many Universities in Europe, Africa, USA, Asia, and Australia. He won Khwarizmi Award in Mathematics, was Mercator Professor, Distinguished Vi...

A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations

This article proposes a fast and accurate expansion-iterative method for solving second kind linear Volterra integral equations. The method is based on a special representation of vector forms of triangular functions (TFs) and their operational matrix of integration. By using this approach, solving the integral equation reduces to solve a recurrence relation. The approximate solution of integra...